Privatisation of a large share of the housing stock was characteristic of all central and eastern European countries, which left the majority of these countries with an impoverished social housing sector and therefore little opportunity for housing most vulnerable groups. Even though it was envisaged that this sector would gradually develop, this has not happened in Slovenia. This article analyses the acceptability of a limited number of alternative housing solutions. The alternatives were evaluated by applicants for social housing in the Municipality of Ljubljana. The survey was carried out by post and targeted unsuccessful applicants for social housing, with 1,048 respondents. On the basis of hierarchical cluster analysis, we identified three distinctive groups of applicants in relation to the acceptability of alternative housing options: those preferring shared homeownership (and social rental housing), those open to all alternatives, and those with a strong preference for social rental housing. Our findings thus demonstrate that applicants for housing vary significantly in their readiness and means to more actively engage in their housing solutions, but only if there are opportunities available.